Question

Write a linear equation that contains the ordered pair shown in the table below:

A.y = -2x + 1
B.y = 2x + 1
C.y = 2x - 1
D.y = -2x -1

Answer 1

`y=2x-4`

Explanation:

step 1

Find the slope

The formula to calculate the slope between two points is equal to

`m=(y2-y1)/(x2-x1)`

take two points from the data in the table

(-5,-14) and (1,-2)

substitute the values

`m=(-2+14)/(1+5)`

`m=(12)/(6)`

`m=2`

step 2

Find the equation in point slope form

`y-y1=m(x-x1)`

we have

`m=2`

`point\ (1,-2)`

substitute

`y+2=2(x-1)`

step 3

Convert to slope intercept form

Isolate the variable y

`y+2=2x-2\\y=2x-2-2\\y=2x-4`

see the attached figure to better understand the problem